Question

the reason in proving congruent triangles
rt || sp, rq ≅ qp, rp bisects st at q
△rqt ≅ △pqs
tamir is working to prove the triangles congruent using sas. after stating the
given information, he states that tq ≅ qs by the definition of segment
bisector. now he wants to state that ∠rqt ≅ ∠pqs. which reason should
hé use?
corresponding angles theorem
vertical angles theorem
alternate interior angles theorem
linear pair postulate

Explanation:

Vertical angles are the angles opposite each other when two lines cross. In the given diagram, ∠RQT and ∠PQS are vertical angles. The vertical angles theorem states that vertical angles are congruent.

Answer:

vertical angles theorem